Yv. Bobylev et al., Nonsteady partial boundary conditions on radiation in the problems of relativistic high-current plasma microwave electronics, PLAS PHYS R, 25(7), 1999, pp. 561-566
Exact boundary conditions are derived for the full set of time-dependent eq
uations for the electromagnetic field in a cylindrical resonator with a coa
xial emitting system. These conditions are shown to provide the most comple
te and rigorous formulation of the problems in relativistic high-current pu
lsed plasma microwave electronics and other fields of electrodynamics of hi
gh-frequency oscillations.